No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Random paths and current fluctuations in nonequilibrium statistical mechanics
2. R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics Vol. 470 (Springer, Berlin, 1975).
3. D. Ruelle, Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978).
4. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 124, 754 (1959).
5. Ya. G. Sinai, Dokl. Akad. Nauk SSSR 124, 768 (1959).
10. Microscopic Simulations of Complex Hydrodynamic Phenomena, edited by M. Mareschal and B. L. Holian (Plenum, New York, 1992).
43. G. N. Bochkov and Yu. E. Kuzovlev, Sov. Phys. JETP 45, 125 (1977).
44. G. N. Bochkov and Yu. E. Kuzovlev, Sov. Phys. JETP 49, 543 (1979).
50. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, UK, 1998).
51. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, UK, 1999).
61. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1975).
62. J. P. Boon and S. Yip, Molecular Hydrodynamics (Dover, New York, 1980).
65. Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
66. P. Gaspard, in Nonlinear Dynamics of Nanosystems, edited by G. Radons, B. Rumpf, and H. G. Schuster (Wiley-VCH, Weinheim, 2010), pp. 1–74.
69. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).
71. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
72. C. W. Gardiner, Handbook of Stochastic Methods, 3rd ed. (Springer, Berlin, 2004).
73. S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, UK, 1995), Vol. I.
79. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. (Wiley, Hoboken, 2006).
86. R. D. Present, Kinetic Theory of Gases (McGraw-Hill, New York, 1958).
89. T. De Donder and P. Van Rysselberghe, Affinity (Stanford University Press, Menlo Park, CA, 1936).
90. I. Prigogine, Introduction to Thermodynamics of Irreversible Processes (Wiley, New York, 1967).
91. H. B. Callen, Thermodynamics and an Introduction to Thermostatistics (Wiley, New-York, 1985).
92. I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai, Ergodic Theory (Springer, New York, 1982).
93. P. Gaspard, in Quantum Chaos, edited by H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and G. Casati (World Scientific, Singapore, 1991), pp. 348–370.
94. P. Gaspard, in Quantum Chaos - Quantum Measurement, edited by P. Cvitanović, I. Percival, and A. Wirzba (Kluwer, Dordrecht, 1992), pp. 19–42.
115. L. S. Levitov and G. B. Lesovik, JETP Lett. 58, 230 (1993).
117. P. Gaspard, in Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond, edited by R. Klages, W. Just, and C. Jarzynski (Wiley-VCH, Weinheim, 2013), pp. 213–257.
119. S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, K. Saito, Y. Utsumi, and A. C. Gossard, Phys. Rev. Lett. 104, 080602 (2010).
120. S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, K. Saito, Y. Utsumi, and A. C. Gossard, Phys. Rev. B 83, 155431 (2011).
Article metrics loading...
An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is considered in time or spacetime for nonequilibrium systems. In this approach, relationships have been established between nonequilibrium properties such as the transport coefficients, the thermodynamic entropy production, or the affinities, and quantities characterizing the microscopic Hamiltonian dynamics and the chaos or fluctuations it may generate. This overview presents results for classical systems in the escape-rate formalism, stochastic processes, and open quantum systems.
Full text loading...
Most read this month